The Routh-Hurwitz criterion determines stability of the system on the basis of the location of roots of a characteristic equation with respect to the imaginary axis of the s-plane without actually solving the equation. This gives just a qualitative result and is the fastest method to know just about the stability of the system. The procedure to be adopted for the application of this criterion is as follows:
Determine the characteristic equation of the system.
If it has any fractional terms, then multiply the characteristic equation by the denominator so that there is no fractional term.
Arrange the resulting equation in descending power of ‘s’ with the leftmost term being of the highest power.
It must ...